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Finding the Third Proportional to 212,717.50 and 317,577

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Solution

The third proportional to 212,717.50 and 317,577 is: 474,127.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,717.50 : 317,577 = 317,577 : x
  2. Step 2: Convert to fraction form
    212,717.50/317,577 = 317,577/x
  3. Step 3: Cross multiply
    212,717.50x = 317,577 × 317,577
  4. Step 4: Simplify right side
    212,717.50x = 100,855,150,929
  5. Step 5: Solve for x
    x = 100,855,150,929/212,717.50
  6. Step 6: Final answer
    x = 474,127.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.